# Tan(3x)(tanx-1)=0

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## Solution for Tan(3x)(tanx-1)=0 equation:

Simplifying
Tan(3x)(tanx + -1) = 0
Remove parenthesis around (3x)
anT * 3x(tanx + -1) = 0
Reorder the terms:
anT * 3x(-1 + antx) = 0
Reorder the terms for easier multiplication:
3anT * x(-1 + antx) = 0
Multiply anT * x
3anxT(-1 + antx) = 0
(-1 * 3anxT + antx * 3anxT) = 0
(-3anxT + 3a2n2tx2T) = 0
Solving
-3anxT + 3a2n2tx2T = 0
Solving for variable 'a'.
Factor out the Greatest Common Factor (GCF), '3anxT'.
3anxT(-1 + antx) = 0
Ignore the factor 3.

#### Subproblem 1

Set the factor 'anxT' equal to zero and attempt to solve: Simplifying anxT = 0 Solving anxT = 0 Move all terms containing a to the left, all other terms to the right. Simplifying anxT = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

#### Subproblem 2

Set the factor '(-1 + antx)' equal to zero and attempt to solve: Simplifying -1 + antx = 0 Solving -1 + antx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + antx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + antx = 0 + 1 antx = 0 + 1 Combine like terms: 0 + 1 = 1 antx = 1 Divide each side by 'ntx'. a = n-1t-1x-1 Simplifying a = n-1t-1x-1

a = {n-1t-1x-1}